epsilon method
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Fluids ◽  
2020 ◽  
Vol 5 (3) ◽  
pp. 160
Author(s):  
Murtaza Mohammadi ◽  
Paige Wenbin Tien ◽  
John Kaiser Calautit

Many high-rise buildings have semi-enclosed landscaped spaces, which act as design elements to improve the social and environmental aspects of the building. Designs such as skygardens are open to outdoor airflow and allow occupants to observe the city skyline from a height. Due to their often high location, they are subjected to strong wind speeds and extreme environmental conditions. The current study investigates the effects of three common wind buffers (railing, hedges, and trees) located at a height of 92 m on the performance of a skygarden, in terms of occupants’ wind comfort. Computational fluid dynamics (CFD) simulations were carried out using the realisable k-epsilon method, where the vegetation was modelled as a porous zone with cooling capacity. The computational modelling of the high-rise building and vegetation were validated using previous works. The quality class (QC) of the Lawson comfort criteria was used for the evaluation of the wind comfort across the skygarden. The results indicate that, although the three wind buffers offer varying levels of wind reduction in the skygarden, the overall wind conditions generated are suitable for occupancy. Furthermore, vegetation is also able to offer slight temperature reductions in its wake. The right combination and dimension of these elements can greatly assist in generating aero-thermal comfort across skygardens.


2020 ◽  
Vol 2 (1) ◽  
pp. 42-59 ◽  
Author(s):  
Lufei Huang ◽  
Liwen Murong ◽  
Wencheng Wang

PurposeEnvironmental issues have become an important concern in modern supply chain management. The structure of closed-loop supply chain (CLSC) networks, which considers both forward and reverse logistics, can greatly improve the utilization of materials and enhance the performance of the supply chain in coping with environmental impacts and cost control.Design/methodology/approachA biobjective mixed-integer programming model is developed to achieve the balance between environmental impact control and operational cost reduction. Various factors regarding the capacity level and the environmental level of facilities are incorporated in this study. The scenario-based method and the Epsilon method are employed to solve the stochastic programming model under uncertain demand.FindingsThe proposed stochastic mixed-integer programming (MIP) model is an effective way of formulating and solving the CLSC network design problem. The reliability and precision of the Epsilon method are verified based on the numerical experiments. Conversion efficiency calculation can achieve the trade-off between cost control and CO2 emissions. Managers should pay more attention to activities about facility operation. These nodes might be the main factors of costs and environmental impacts in the CLSC network. Both costs and CO2 emissions are influenced by return rate especially costs. Managers should be discreet in coping with cost control for CO2 emissions barely affected by return rate. It is advisable to convert the double target into a single target by the idea of “Efficiency of CO2 Emissions Control Reduction.” It can provide managers with a way to double-target conversion.Originality/valueWe proposed a biobjective optimization problem in the CLSC network considering environmental impact control and operational cost reduction. The scenario-based method and the Epsilon method are employed to solve the mixed-integer programming model under uncertain demand.


This work deals with the analytical solution of the rise temperature history on the back face of the unfired clay bricks related to the theoretical model of flash method, was calculated using Duhamel theorem. The local sensitivity analysis of the obtained solution shown that the sensitivity coefficients related to the thermal diffusivity and the adiabatic limit temperature meets the beck criterion for low time range, so these tow parameters can be simultaneously estimated with a good accuracy in this time range. Due to the slow convergence of the analytical solution in short times, the procedure for estimating the thermophysical properties is relatively slow. The theoretical analytical solution has therefore been replaced by an equivalent solution whose convergence speed was improved using the Wynn Epsilon method. The apparent thermal diffusivity and the adiabatic limit temperature of samples were then estimated by fitting measured rise temperature with the equivalent analytical solution. It is interesting to note the good agreement between the theoretical model with predicted values of parameters and the experimental data


2018 ◽  
Vol 2018 ◽  
pp. 1-16 ◽  
Author(s):  
Fenglei Han ◽  
Jingzheng Yao ◽  
Chunhui Wang ◽  
Haitao Zhu

Prandtl’s mixing length method and the k-epsilon method are introduced into the Moving Particle Semi-Implicit (MPS) method for the purpose of modeling turbulence effects associated with water entries of two-dimensional (2D) bow flare section. The presented numerical method is validated by comparing its numerical prediction with experimental data and other numerical results obtained from the Boundary Element Method (BEM). The time histories of the pressure and the vertical slamming force acting on the dropping ship section subjected to various conditions with different dropping velocity and inclined angles are analyzed. The results show that both the pressure and the vertical slamming force are in good agreement with the experimental data.


2006 ◽  
Vol 43 (1) ◽  
pp. 59-69 ◽  
Author(s):  
Zheng-yi Feng ◽  
Jonathan TH Wu

An approximate solution method, referred to as the epsilon method, allows flow characteristics such as flow rate and exit gradient to be determined for seepage through a two-layer soil system. The finite element program SEEP was employed to analyze flow characteristics of an impervious dam with sheet pile on a layered soil. Extensive analyses were performed for different conditions, including soil layer thickness, soil hydraulic conductivity, dam width, and sheet pile depth. The flow rate and exit gradient were determined for each condition analyzed. The results were reduced to simple charts, called the epsilon curves. The epsilon curves allow a designer to obtain solutions to the seepage problem without a computer code and to verify solutions obtained from a computer code. They are especially useful when searching for an optimum design of a masonry dam. The epsilon curves can be extended to a soil system comprising more than two layers. An example of a single-row sheet pile structure in a three-layer system is given to illustrate how to use the method for multiple-layer systems. The method was verified by comparing the results with those obtained from the SEEP program, and excellent agreement was noted.Key words: seepage, dam, sheet pile, layered soil, hydraulic conductivity.


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